A comparison principle for the porous media equation with absorption

DOI10.1016/0022-247X(92)90051-EzbMath0762.35053OpenAlexW2005188376MaRDI QIDQ1191647

Zhengyuan Li, Lambertus A. Peletier

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90051-e

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for second-order parabolic equations (35K15)

Related Items (10)

Interactions among multi-nonlinearities in a nonlinear diffusion system with absorptions and nonlinear boundary flux ⋮ Monotone iterative method for degenerate nonlinear parabolic equations ⋮ Properties of solutions to porous medium problems with different sources and boundary conditions ⋮ On the unique solvability of a nonlinear reaction-diffusion model with convection ⋮ Necessary and sufficient conditions for the unique solvability of a nonlinear reaction-diffusion model ⋮ Multinonlinear interactions in quasi-linear reaction-diffusion equations with nonlinear boundary flux ⋮ Semilinear elliptic resonant problems at higher eigenvalue with unbounded nonlinear terms ⋮ Multiple solutions for semilinear resonance elliptic problems with nonconstant coefficients at infinity ⋮ Morse theory applied to semilinear problems ⋮ Optimal boundary regularity for fast diffusion equations in bounded domains

Cites Work

• Unnamed Item
• Attractivity properties of nonnegative solutions for a class of nonlinear degenerate parabolic problems
• Large time behaviour of solutions of the porous medium equation in bounded domains
• A positivity property of solutions of nonlinear diffusion equations
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• Decay of solutions of a degenerate nonlinear diffusion equation
• Large time behaviour of solutions of the porous media equation with absorption: the fast diffusion case
• Continuity of solutions of a singular parabolic equation
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables

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